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Finding the Fourth Proportional to 51,501.56, 76,866.20 and 48,138.56

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Solution

The fourth proportional to 51,501.56, 76,866.20 and 48,138.56 is: 71,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,501.56 : 76,866.20 = 48,138.56 : x
  2. Step 2: Convert to fraction form
    51,501.56/76,866.20 = 48,138.56/x
  3. Step 3: Cross multiply
    51,501.56x = 76,866.20 × 48,138.56
  4. Step 4: Simplify right side
    51,501.56x = 3,700,228,180.67
  5. Step 5: Solve for x
    x = 3,700,228,180.67/51,501.56
  6. Step 6: Final answer
    x = 71,846.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.